On higher eta-invariants and metrics of positive scalar curvature

被引：26

作者：

Leichtnam, E

Piazza, P

机构：

[1] Inst Jussieu Chevaleret, F-75013 Paris, France

[2] Univ Roma La Sapienza, Dipartimento Matemat Guido Castelnuovo, I-00185 Rome, Italy

来源：

K-THEORY | 2001年 / 24卷 / 04期

关键词：

bordism groups; positive scalar curvature metrics; Galois coverings; higher eta-invariants; higher rho-invariants; b-pseudodifferential calculus; higher APS index formula;

D O I：

10.1023/A:1014079307698

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let N be a closed connected spin manifold admitting one metric of positive scalar curvature. In this paper we use the higher eta-invariant associated to the Dirac operator on N in order to distinguish metrics of positive scalar curvature on N. In particular, we give sufficient conditions, involving pi(1)(N) and dim N, for N to admit an infinite number of metrics of positive scalar curvature that are nonbordant.

引用

页码：341 / 359

页数：19

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[1] SPECTRAL ASYMMETRY AND RIEMANNIAN GEOMETRY .2. [J].